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9 Cards in this Set
- Front
- Back
Reciprocal Identities
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1. sin u = 1/csc u
2. cos u = 1/sec u 3. tan u = 1/cot u 4. csc u = 1/sin u 5. sec u = 1/cos u 6. cot u = 1/tan u |
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Quotient Identities
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1. tan u = (sin u)/(cos u)
2. cot u = (cos u)/(sin u) |
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Pythagorean Identities
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1. sin2 u + cos2 u = 1
2. 1 + tan2 u = sec2 u 3. 1 + cot2 u = csc2 u |
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Even/Odd Identities
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1. sin (-u) = -sin u
2. cos (-u) = cos u 3. tan (-u) = -tan u 4. csc (-u) = -csc u 5. sec (-u) = sec u 6. cot (-u) = -cot u |
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How should the even/odd identities be used?
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if an angle is negative, use those identities to make it positive
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What is the general format for cofunction identities?
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sin (pi/2 - u) = cos u
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Which trig functions go together for the cofunction identites?
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1. sin-cos
2. cos-sin 3. tan-cot 4. cot-tan 5. sec-csc 6. csc-sec |
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When should the quotient identities be used?
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to replace tan or cot
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How do you derive the other two pythagorean identities from the first one (sin2 u + cos2 u = 1)?
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1. divide b cos2 u
2. divide by sin2 u |